Every idea

Ideas 11401–11550 of 14183.

Name	Kind	Subject
Smooth morphism	Definition	Algebraic geometry
Perron–Wiener–Brelot solution	Concept	Potential theory
Reduced scheme	Definition	Algebraic geometry
Representation theory of the Lorentz group	Example	Topological groups, Lie groups
Derivation	Definition	Commutative algebra
Artin–Wedderburn theorem	Theorem	Associative rings and algebras
Urysohn universal space	Object	General topology
Marcinkiewicz interpolation theorem	Theorem	Functional analysis
Filtered algebra	Concept	Associative rings and algebras
Rejection sampling	Theorem	Numerical analysis
Simplicial homology	Definition	Algebraic topology
Intersection body	Definition	Convex and discrete geometry
Poincaré problem	Problem	Several complex variables and analytic spaces
Lambert W function	Definition	Special functions
3-manifold	Concept	Manifolds and cell complexes
Prevariety	Definition	General algebraic systems
Bernstein–Sato polynomial	Definition	Algebraic geometry
Principal component analysis	Definition	Statistics
Volterra equations with completely monotone kernels	Definition	Integral equations
Brauer character	Concept	Group theory and generalizations
Picard's little theorem	Theorem	Functions of a complex variable
Smooth structure	Concept	Manifolds and cell complexes
Liouville's theorems on elliptic functions	Theorem	Special functions
Galois connection between subgroups and subfields	Concept	Field theory and polynomials
Coiflet	Example	Harmonic analysis on Euclidean spaces
Dedekind zeta function	Definition	Number theory
Fréchet–Urysohn space	Concept	General topology
Power series in several variables	Concept	Several complex variables and analytic spaces
Integral equation	Concept	Integral equations
Semilocally simply connected space	Concept	Manifolds and cell complexes
Projective conic	Concept	Geometry
Hurwitz-stable matrix	Definition	Linear and multilinear algebra; matrix theory
Transport equation	Definition	Partial differential equations
Aitken's delta-squared process	Definition	Numerical analysis
Bruck–Ryser–Chowla theorem	Theorem	Combinatorics
Sturm's theorem	Theorem	Field theory and polynomials
Kummer–Artin–Schreier–Witt theory	Concept	Field theory and polynomials
Torus integral	Concept	Several complex variables and analytic spaces
Projective resolution	Definition	Commutative algebra
Neumann's addition theorem	Theorem	Special functions
Gelfand–Levitan theory	Concept	Ordinary differential equations
Incomplete gamma function	Definition	Special functions
Multidimensional scaling	Definition	Statistics
Cauchy–Riemann operator	Definition	Several complex variables and analytic spaces
Hadamard finite part	Definition	Integral equations
Normal scheme	Definition	Algebraic geometry
Permanent	Definition	Linear and multilinear algebra; matrix theory
Euler's pentagonal number theorem	Theorem	Number theory
Oriented matroid	Concept	Convex and discrete geometry
Stochastic ordering	Definition	Probability theory and stochastic processes
Contractible space	Concept	Algebraic topology
Hecke character	Concept	Number theory
The natural numbers under addition are not a group	Example	Group theory and generalizations
Dual pair	Concept	Functional analysis
n-skeleton	Definition	Manifolds and cell complexes
Tetrahedron	Definition	Geometry
Fixed point	Concept	Dynamical systems and ergodic theory
Unimodular matrix	Concept	Linear and multilinear algebra; matrix theory
Seeley–DeWitt coefficients	Concept	Global analysis, analysis on manifolds
Clifford–Klein form	Concept	Manifolds and cell complexes
Initial algebra	Concept	Category theory; homological algebra
Ruzsa triangle inequality	Theorem	Number theory
Borel subgroup	Definition	Group theory and generalizations
Localization of a space	Definition	Algebraic topology
Unital magma	Definition	Group theory and generalizations
Kernel approximation in reproducing kernel Hilbert spaces	Concept	Functional analysis
Ordered semigroup	Definition	Order, lattices, ordered algebraic structures
Vertex of a polytope	Concept	Convex and discrete geometry
Cartan's theorem B	Theorem	Several complex variables and analytic spaces
Abelian variety	Concept	Algebraic geometry
Willmore energy	Concept	Differential geometry
Convex hull algorithms	Concept	Computer science
Liouvillian function	Definition	Field theory and polynomials
Cylinder set measure	Definition	Measure and integration
Self-similar measure	Concept	Measure and integration
Hilbert manifold	Concept	Global analysis, analysis on manifolds
Complex analytic space	Definition	Several complex variables and analytic spaces
Hasse–Minkowski theorem	Theorem	Number theory
Frobenius theorem on Cesàro and Abel summability	Theorem	Sequences, series, summability
Likelihood-ratio test	Definition	Statistics
Linking number	Definition	Manifolds and cell complexes
Cardinal characteristics of the continuum	Definition	Mathematical logic and foundations
Floating-point arithmetic	Definition	Numerical analysis
Zolotarev polynomials	Concept	Approximations and expansions
Weierstrass excess function	Concept	Calculus of variations and optimal control; optimization
Calderón problem	Problem	Partial differential equations
Univalent function	Concept	Functions of a complex variable
Schur complement method	Proposition	Numerical analysis
Cauchy–Fantappiè formula	Theorem	Several complex variables and analytic spaces
Thue–Siegel–Roth theorem	Theorem	Number theory
Isometry of Riemannian manifolds	Concept	Differential geometry
Friedberg–Muchnik theorem	Theorem	Mathematical logic and foundations
Topological monoid	Concept	Topological groups, Lie groups
Width of a poset	Concept	Order, lattices, ordered algebraic structures
Toeplitz index theorem	Theorem	Operator theory
Weyl's inequality	Theorem	Linear and multilinear algebra; matrix theory
Hamiltonian of an optimal control problem	Concept	Calculus of variations and optimal control; optimization
Minimal sufficient statistic	Concept	Statistics
Monad in nonstandard topology	Concept	General topology
Lp multiplier	Concept	Harmonic analysis on Euclidean spaces
Almost everywhere	Concept	Measure and integration
Volterra's function	Counterexample	Real functions
Unramified morphism of rings	Definition	Commutative algebra
Self-similar process	Concept	Probability theory and stochastic processes
Huber loss	Concept	Statistics
Hilbert's invariant integral	Definition	Calculus of variations and optimal control; optimization
Dugundji extension theorem	Theorem	General topology
Bimodule	Definition	Associative rings and algebras
Eigenvalue algorithm	Definition	Numerical analysis
Hyperbolic geometry	Definition	Geometry
Wasserstein metric	Definition	Calculus of variations and optimal control; optimization
Golod–Shafarevich theorem	Theorem	Associative rings and algebras
Mori domain	Definition	Commutative algebra
Karlin–Rubin theorem	Theorem	Statistics
Semilinear PDE	Concept	Partial differential equations
Anosov diffeomorphism	Concept	Dynamical systems and ergodic theory
Tarski's high school algebra problem	Problem	General algebraic systems
Shape derivative	Definition	Calculus of variations and optimal control; optimization
Order topology	Concept	General topology
Polar space	Definition	Geometry
Post algebra	Concept	Order, lattices, ordered algebraic structures
Matching pursuit	Definition	Approximations and expansions
Morita equivalence	Concept	Associative rings and algebras
Weierstrass polynomial	Definition	Several complex variables and analytic spaces
Iterated exponentiation	Example	Sequences, series, summability
Projection-valued measure	Definition	Operator theory
Self-avoiding walk	Definition	Statistical mechanics, structure of matter
Gelfand–Levitan–Marchenko equation	Definition	Ordinary differential equations
Laplace transform of a power function	Example	Integral transforms, operational calculus
Way-below relation	Concept	Order, lattices, ordered algebraic structures
Semiprimary ring	Definition	Associative rings and algebras
Lanczos sigma factor	Definition	Harmonic analysis on Euclidean spaces
Relation algebra	Definition	Mathematical logic and foundations
Cohomology ring	Concept	Algebraic topology
Indirect method by shooting	Concept	Calculus of variations and optimal control; optimization
Local field	Definition	Number theory
Gromov's non-squeezing theorem	Theorem	Differential geometry
Jordan–Zassenhaus theorem	Theorem	Associative rings and algebras
Loss function	Definition	Statistics
Injective module	Definition	Commutative algebra
Quantifier elimination	Definition	Mathematical logic and foundations
Quiver	Concept	Associative rings and algebras
Contravariant functor	Concept	Category theory; homological algebra
Congruence lattice	Concept	General algebraic systems
Fatou set	Definition	Dynamical systems and ergodic theory
Neumann boundary condition	Definition	Ordinary differential equations
Fundamental identity for ramification and inertia	Theorem	Number theory
Affine independence	Definition	Geometry
Carleson measure	Definition	Functions of a complex variable
Tjurina number	Definition	Several complex variables and analytic spaces